Micromechanically established constitutive equations for multiphase materials with viscoelastic-viscoplastic phases

Mechanics of Time-Dependent Materials

Volumn 9, Issue 2-3, 2005, Pages 121-145

  Aboudi, Jacob ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Coupled viscoelastoplasticity; Homogenization; Micromechanics; Multiphase materials; Unified viscoplasticity; Viscoelasticity; Viscoplasticity

Indexed keywords

CREEP; MICROSTRUCTURE; PARAMETER ESTIMATION; RELAXATION PROCESSES; TENSORS; VISCOELASTICITY; VISCOPLASTICITY;

HOMOGENIZATION; MULTIPHASE MATERIALS; UNIFIED VISCOPLASTICITY;

COMPOSITE MICROMECHANICS;

EID: 28544445481     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11043-005-1085-x     Document Type: Review

References (26)

1. Aboudi, J., 'Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites', Smart Mater. Struct. 10, 2001, 867-877.
2. Aboudi, J., The generalized method of cells and high-fidelity generalized method of cells micromechanical models - a review', Mech. Adv. Mater. Struct. 11, 2004, 329-366.
3. Aboudi, J., Pindera, M.-J., and Arnold, S.M., 'Linear thermoelastic higher-order theory for periodic multiphase materials', J. Appl. Mech. 68, 2001, 697-707.
4. Aboudi, J., Pindera, M.-J., and Arnold, S.M., 'High-fidelity generalized method of cells for inelasticperiodic multiphase materials', NASA TM-2002-211469, 2002.
5. Aboudi, J., Pindera, M-J., and Arnold, S.M. 'Higher-order theory for periodic multiphase materials with inelastic phases', Int. J. Plasticity 19, 2003, 805-847.
6. Bednarcyk, B.A. and Arnold, S.M., MAC/GMC 4.0 User's Manual. NASA/TM-2002-212077, 2002.
7. Bednarcyk, B.A., Arnold, S.M., Aboudi, J., and Pindera, M.-J., 'Local field effects in titanium matrix composites subjected to fiber-matrix debonding', Int. J. Plasticity 20, 2004, 1707-1737.
8. Bodner, S.R., Unified Plasticity for Engineering Applications. Kluwer, New York, 2002.
9. Bodner, S.R. and Partom, Y., 'A large deformation elastic-viscoplastic analysis of a thick-walled spherical shell', J. Appl. Mech. 39, 1972, 751-757.
10. Chaboche, J.L., Kruch, J.F., Maire, J.E, and Potter, T., Towards a micromechanics based inelastic and damage modeling of composites', Int. J. Plasticity 17, 2001, 411-439.
11. Dvorak G.J., 'Transformation field analysis of inelastic composite materials', Proc. R. Soc. Land. (A) 437, 1992, 311-327.
12. Fotiu, P.A. and Nemat-Nasser, S., 'Overall properties of elastic-viscoplastic periodic composites', Int. J. Plasticity 12, 1996, 163-190.
13. Frank, J.F. and Brockman, R. A., 'A viscoelastic-viscoplastic constitutive model for glassy polymers', Int. J. Solids Struct. 38, 2001, 5149-5164.
14. Li, J.Y. and Dunn, M.L. 'Micromechanics of magnetoelectroelastic composite materials: Average field and effective behavior', J. Intell. Mat. Syst. Struct. 9, 1998, 404-416.
15. Li, J. and Weng, G.J., 'Creep of a composite with dual viscoplastic phases', Compos. Sci. Technol. 58, 1998, 1803-1810.
16. Mori, T. and Tanaka, K., 'Average stresses in matrix and average energy of materials with misfitting inclusions', Acte Metall. 21, 1973, 571-574.
17. Perzyna, P., 'Fundamental problems in viscoplasticity', in Advances in Applied Mechanics, Vol. 9, Academic Press, New York, 1966, 243-377.
18. Ponte Castaneda P., 'Exact second-order estimates for the effective mechanical properties of nonlinear composite materials', J. Mech. Phys. Solids 44, 1996, 827-862.
19. Saleeb, A.F and Arnold, S.M., 'Specific hardening function definition and characterization of a multimechanism generalized potential-based viscoelastoplasticity model', Int. J. Plasticity 20, 2004, 2111-2142.
20. Saleeb, A.F., Arnold, S.M., Castelli, M.G., Wilt, T.E., and Graf, W., 'A general hereditary multimechanism-based deformation model with application to the viscoelastoplastic responseof titanium alloys', Int. J. Plasticity 17, 2001, 1305-1350.
21. Talbot, D.R.S. and Willis, J.R., 'Bounds of the third order for the overall response of nonlinear composites', J. Mech. Phys. Solids 45, 1997, 87-111.
22. Terada, K., Hori, M., Kyoya, T., and Kikuchi, N., 'Simulation of the multi-scale convergence in computational homogenization approaches', Int. J. Solids Struct. 37, 2000, 2285-2311.
23. Van der Sluis, O., Schreurs, P.J.G., and Meijer, H.E.H., 'Effective properties of viscoplastic constitutive model obtained by homogenisation', Mech. Mat. 31, 1999, 743-759.
24. Van der Sluis, O., Schreurs, P.J.G., Brekelmans, W.A.M., and Meijer, H.E.H., 'Overall behaviour of heterogeneous elastoviscoplastic materials: Effect of microstructural modelling', Mech. Mat. 32, 2000, 449-462.
25. Walker, K.P., Freed, A.D., and Jordan, E.H., 'Thermoviscoplastic analysis of fibrous periodic composites by the use of triangular subvolumes', Compos. Sci. Technol. 50, 1994, 71-84.
26. Wu, X. and Ohno, N., 'A homogenization theory for time-dependent nonlinear composites with periodic internal structures', Int. J. Solids Struct. 36, 1999, 4991-5012.